Study of Critical Dynamic Systems’ Behavior
https://doi.org/10.56304/S2079562923010220
Abstract
A phenomenon of dynamic chaos, self-organization is related to stochastic instability and critical behavior of non-linear physical systems of different nature. These processes arise, for example, in phenomenon of condensed media dynamic failure and developed turbulence. In such non-linear systems there occur dynamic dissipative structure cascades, possessing a fractal structure. Multi-fractal properties are characterized by spectral function f(dfi), determined by elements number l behavior, required for covering of fractal sets with similar probabilities Pi ~ ldfi . In both cases, systems transit from one scale-time level to the next one via cascade of bifurcation and quantitative process characteristics at developed stages do not depend on interatomic interaction Hamiltonian. Fractal organization of processes at all scale-time levels testifies to process similarity and permits to assign these processes to a single class of universality. On the whole the system’s evolution is defined not by interatomic interaction Hamiltonians, but by dissipative structures’ incipient cascades. Similar values of fractal dimensions on all studied scales, which characterize the failure structure, allow formation study of microflaws оf failure and macrofailure, as scale spectrum edges of overall process with overall order parameters.
About the Authors
N. I. Sel’chenkova
Russian Federal Nuclear Center – All-Russia Research Institute of Experimental Physics,
Sarov, Nizhny Novgorod region, 607188 Russia
Russian Federation
Russian Federation
А. Ya. Uchaev
Russian Federal Nuclear Center – All-Russia Research Institute of Experimental Physics,
Sarov, Nizhny Novgorod region, 607188 Russia
Russian Federation
Russian Federation
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Review
For citations:
Sel’chenkova N.I., Uchaev А.Ya. Study of Critical Dynamic Systems’ Behavior. Nuclear Physics and Engineering. 2024;15(1):48-56. (In Russ.) https://doi.org/10.56304/S2079562923010220
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